What is the Greatest Common Factor of 11005 and 11011?

Greatest common factor (GCF) of 11005 and 11011 is 1.

GCF(11005,11011) = 1

We will now calculate the prime factors of 11005 and 11011, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11005 and 11011.

How to find the GCF of 11005 and 11011?

We will first find the prime factorization of 11005 and 11011. After we will calculate the factors of 11005 and 11011 and find the biggest common factor number .

Step-1: Prime Factorization of 11005

Prime factors of 11005 are 5, 31, 71. Prime factorization of 11005 in exponential form is:

11005 = 5¹ × 31¹ × 71¹

Step-2: Prime Factorization of 11011

Prime factors of 11011 are 7, 11, 13. Prime factorization of 11011 in exponential form is:

11011 = 7¹ × 11² × 13¹

Step-3: Factors of 11005

List of positive integer factors of 11005 that divides 11005 without a remainder.

1, 5, 31, 71, 155, 355, 2201

Step-4: Factors of 11011

List of positive integer factors of 11011 that divides 11005 without a remainder.

1, 7, 11, 13, 77, 91, 121, 143, 847, 1001, 1573

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11005 and 11011. The biggest common factor number is the GCF number.
So the greatest common factor 11005 and 11011 is 1.

Also check out the Least Common Multiple of 11005 and 11011